Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
566 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 566 conjugacy classes of subgroups — too many to draw. Only its 105 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#11718570 | C2 | semidirect |
| 2. C22×#88040 | C2 | semidirect |
| 4. C2×#11718108 | C2 | semidirect |
| 5. C2×#11718102 | C2 | semidirect |
| 6. #13115751 | C2 | semidirect |
| 7. C13×#1379 | C2 | semidirect |
| 46. C2×Dic52 | D4 | semidirect |
| 66. C13×M32 | D4 | semidirect |
| 70. C2×C13×C16 | D4 | semidirect |
| 145. #1379 | D13 | semidirect |
| 264. M32 | D52 | semidirect |
| 268. C2×C16 | D52 | semidirect |
| 339. C13 | #13338 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718570 | 2 |
| C22×#88040 | 2 |
| #13125322 | 2 |
| C2×#11718108 | 2 |
| C2×#11718102 | 2 |
| #13115751 | 2 |
| C13×#1379 | 2 |
| #13338 | 13 |